About: Maximum and minimum principles for nonlinear transport equations on discrete-space domains     Goto   Sponge   NotDistinct   Permalink

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Description
  • We consider nonlinear scalar transport equations on the domain with discrete space and continuous time. As a motivation we derive a conservation law on these domains. In the main part of the paper we prove maximum and minimum principles that are later applied to obtain an a priori bound which is applied in the proof of existence of solution and its uniqueness. Further, we study several consequences of these principles such as boundedness of solutions, sign preservation, uniform stability and comparison theorem which deals with lower and upper solutions.
  • We consider nonlinear scalar transport equations on the domain with discrete space and continuous time. As a motivation we derive a conservation law on these domains. In the main part of the paper we prove maximum and minimum principles that are later applied to obtain an a priori bound which is applied in the proof of existence of solution and its uniqueness. Further, we study several consequences of these principles such as boundedness of solutions, sign preservation, uniform stability and comparison theorem which deals with lower and upper solutions. (en)
Title
  • Maximum and minimum principles for nonlinear transport equations on discrete-space domains
  • Maximum and minimum principles for nonlinear transport equations on discrete-space domains (en)
skos:prefLabel
  • Maximum and minimum principles for nonlinear transport equations on discrete-space domains
  • Maximum and minimum principles for nonlinear transport equations on discrete-space domains (en)
skos:notation
  • RIV/49777513:23520/14:43921947!RIV15-GA0-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0090), P(GAP201/12/1757), S
http://linked.open...iv/cisloPeriodika
  • 78
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 27710
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/14:43921947
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonlinear comparison theorem.; uniform stability; sign preservation; uniqueness; existence; maximum principles; discrete-space domain; nonlinear transport equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [4F2FEE8D54B8]
http://linked.open...i/riv/nazevZdroje
  • Electronic Journal of Differential Equations
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2014
http://linked.open...iv/tvurceVysledku
  • Volek, Jonáš
issn
  • 1072-6691
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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